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A thin uniform disk of mass M=0.100 kg and radius R=0.400 m has its center of mass is attached a distance L/4 from the bottom end of a uniform rod of mass m=0.0500 kg and length L=1.60 m the top end of the rod is attached to a frictionless pivot. The system is displaced a small angle theta with respect to the vertical and released from rest.
1. Compute the moment of inertia of the system.
2. Compute the period of small oscillations for this system.
The density of the sea water is 1025 kg/m3. The density of ice is 917 kg/m3. Explain how high does the top of the ice block float above the water level?
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